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1201423040224 = 251122785317627
BaseRepresentation
bin10001011110111010011…
…001001011111011100000
311020212002020102001011221
4101132322121023323200
5124141003244241344
62315532013144424
7152541245226241
oct21367231137340
94225066361157
101201423040224
1142357aa922a0
12174a1618b114
13893a8372644
1442213516cc8
15213b9ad2184
hex117ba64bee0

1201423040224 has 96 divisors (see below), whose sum is σ = 2594881650816. Its totient is φ = 543027448320.

The previous prime is 1201423040141. The next prime is 1201423040317. The reversal of 1201423040224 is 4220403241021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68149299 + ... + 68166925.

It is an arithmetic number, because the mean of its divisors is an integer number (27030017196).

Almost surely, 21201423040224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201423040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297440825408).

1201423040224 is an abundant number, since it is smaller than the sum of its proper divisors (1393458610592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1201423040224 is a wasteful number, since it uses less digits than its factorization.

1201423040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18728 (or 18720 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1201423040224 its reverse (4220403241021), we get a palindrome (5421826281245).

The spelling of 1201423040224 in words is "one trillion, two hundred one billion, four hundred twenty-three million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 227 352 454 853 908 1706 1816 2497 3412 3632 4994 6824 7264 9383 9988 13648 17627 18766 19976 27296 35254 37532 39952 70508 75064 79904 141016 150128 193631 193897 282032 300256 387262 387794 564064 774524 775588 1549048 1551176 2129941 3098096 3102352 4001329 4259882 6196192 6204704 8002658 8519764 15035831 16005316 17039528 30071662 32010632 34079056 44014619 60143324 64021264 68158112 88029238 120286648 128042528 165394141 176058476 240573296 330788282 352116952 481146592 661576564 704233904 1323153128 1408467808 2646306256 3413133637 5292612512 6826267274 13652534548 27305069096 37544470007 54610138192 75088940014 109220276384 150177880028 300355760056 600711520112 1201423040224